Question

What is the rule of -3,18,-108,—,—,—

Answer 1

`\textbf{Heya !}`

✏✏
`\large\textsf{Given:-}`

• The first 3 terms of a sequence :-
  `\large\textsf{-3, 18, -108}`

✏✏
`\large\textsf{To Find:-}}`

• The rule for the sequence = ?

✏✏
`\large\textsf{Solution Steps:-}`

What do we multiply each term of the sequence by to arrive at the next one ? we can find that by dividing the last term of the sequence, -108, by the middle term, 18:-

`\large{\sf{\longmapsto{-108/18=-6}`

Now divide 18 by the first term (-3) :-

`\longmapsto\sf{18/-3=-6}`

we arrived at -6 twice, So the rule for this sequence is:- "Multiply by -6, And you'll arrive at the next term"

`hope it helped ~ :D

Answer 2

Hi! ❄

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The rule for this sequence is 'multiply by -6'.

Verification ↓

-3*(-6)
`\stackrel\checkmark{=}`18

18*(-6)
`\stackrel\checkmark{=}`-108

So the rule for the sequence is 'multiply by -6'

And the Common ratio is -6.

Hope that made sense !!

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`\star\tiny\pmb{calligraphy}\star`